Quantum topology

Quantum topology is a branch of mathematics that connects quantum mechanics with low-dimensional topology.

Quantum mechanics
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$i\hbar {\frac {\partial }{\partial t}}\|\psi (t)\rangle ={\hat {H}}\|\psi (t)\rangle$ Schrödinger equation
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Categories ► Quantum mechanics

Dirac notation provides a viewpoint of quantum mechanics which becomes amplified into a framework that can embrace the amplitudes associated with topological spaces and the related embedding of one space within another such as knots and links in three-dimensional space. This bra–ket notation of kets and bras can be generalised, becoming maps of vector spaces associated with topological spaces that allow tensor products.[1]

Topological entanglement involving linking and braiding can be intuitively related to quantum entanglement.[1]

References

Kauffman, Louis H.; Baadhio, Randy A. (1993). Quantum Topology. River Edge, NJ: World Scientific. ISBN 981-02-1544-4.

External links

Quantum Topology at EMS Publishing House.

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Quantum topology

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References

External links